Factor

Dimensionless parameter

Symbol

Description

Response effects

Stokes No.

St

St < 60 turbulent attenuation, 60 < St both attenuation and augmentation

Inertial effects

Particle Reynolds No.

Rep

Rep < 200 only attenuation, 400 < Rep only augmentation (spherical particles)

Rep < 200 only attenuation, 650 < Rep augmentation (non-spherical particles)

Surface effect

length scale ration

dp/le

dp/le < 0.1 only attenuation, 0.25 < dp/le only augmentation

Loading effect

Mass loading, article volume fraction

Φm, Φv

Φv < 10−6 one way coupling

10−6 < Φv < 10−3 two way coupling

10−3 < Φv four way coupling